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Finding the Fourth Proportional to 742.62, 1,018.14 and 731.28

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Solution

The fourth proportional to 742.62, 1,018.14 and 731.28 is: 1,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.62 : 1,018.14 = 731.28 : x
  2. Step 2: Convert to fraction form
    742.62/1,018.14 = 731.28/x
  3. Step 3: Cross multiply
    742.62x = 1,018.14 × 731.28
  4. Step 4: Simplify right side
    742.62x = 744,545.42
  5. Step 5: Solve for x
    x = 744,545.42/742.62
  6. Step 6: Final answer
    x = 1,002.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.